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Finding the Third Proportional to 7,086 and 10,116

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Solution

The third proportional to 7,086 and 10,116 is: 14,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086 : 10,116 = 10,116 : x
  2. Step 2: Convert to fraction form
    7,086/10,116 = 10,116/x
  3. Step 3: Cross multiply
    7,086x = 10,116 × 10,116
  4. Step 4: Simplify right side
    7,086x = 102,333,456
  5. Step 5: Solve for x
    x = 102,333,456/7,086
  6. Step 6: Final answer
    x = 14,441.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.